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Finding the Fourth Proportional to 6,667.50, 9,199.84 and 3,683.24

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Solution

The fourth proportional to 6,667.50, 9,199.84 and 3,683.24 is: 5,082.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,667.50 : 9,199.84 = 3,683.24 : x
  2. Step 2: Convert to fraction form
    6,667.50/9,199.84 = 3,683.24/x
  3. Step 3: Cross multiply
    6,667.50x = 9,199.84 × 3,683.24
  4. Step 4: Simplify right side
    6,667.50x = 33,885,218.68
  5. Step 5: Solve for x
    x = 33,885,218.68/6,667.50
  6. Step 6: Final answer
    x = 5,082.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.